What is the smallest possible multiple of 6960 that is a perfect square?

To find the smallest multiple of 6960 that is a perfect square, we need to prime factorize 6960: 2^4 * 3 * 5 * 29. Now, to make the multiple a perfect square, we need to increase the exponent of each prime factor to an even number. Hence, the smallest perfect square multiple is 2^8 * 3^2 * 5^2 * 29^2 = 2328480000.

Math Question: What is the sum of the digits in the number 6960 when multiplied by its largest prime factor and divided by the smallest prime factor?

To calculate the sum of the digits in 6960, we add 6 + 9 + 6 + 0, which equals 21. Now, let's find the prime factors of 6960. The largest prime factor is 29, and the smallest prime factor is 2. Multiplying the sum of the digits (21) by the largest prime factor (29) yields 609. Finally, dividing this by the smallest prime factor (2) gives us a result of 304. Therefore, the answer is 304.

Math question: What is the product of 6960 multiplied by the sum of its digits?

To find the sum of the digits of 6960, we add 6 + 9 + 6 + 0 = 21. Now, multiplying 6960 by the sum of its digits, we get 6960 * 21 = 146,160. The product of 6960 and the sum of its digits is 146,160.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

6960 (number)

6960 is an even 4-digits composite number following 6959 and preceding 6961. In scientific notation, it is written as 6.960 × 10^3. The sum of its digits is 21. It has a total of 6 prime factors and 20 positive divisors. There are 1792 positive integers (up to 6960) that are relatively prime to 6960.

Interesting facts

6960 has 20 divisors, whose sum is 14880
The reverse of 6960 is 0696
Previous prime number is 15

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 21
Digital Root 3

Name

Name	six thousand nine hundred sixty

Notation

Scientific notation	6.960 × 10^3
Engineering notation	6.960 × 10^3

Prime Factorization of 6960

Prime Factorization 2 × 2 × 2 × 2 × 15 × 29

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	870	Product of the distinct prime numbers

The prime factorization of 6960 is 2 × 2 × 2 × 2 × 15 × 29. Since it has a total of 6 prime factors.

Most popular turbo-numbers

7, 1, 13, 3, 139, 771, 6252, 57, 69996, 33454, 996783, 973868, 278091, 5732776, 36089578, 76486386, 8606659, 992696123, 4945226793, 3421981314

Basic calculations (n = 6960)

Multiplication

n×y

n×2	13920
n×3	20880
n×4	27840
n×5	34800

Division

n÷y

n÷2	3480
n÷3	2320
n÷3	1740
n÷5	1392

Exponentiation

n^y

n²	48441600
n³	337153536000
n⁴	2346588610560000
n⁵	1.6332256729498E+19

Nth Root

^y√n

²√n	83.426614458457
³√n	19.09280541872
⁴√n	9.1338170804137
⁵√n	5.8684289100533

Divisors of 6960

1, 2, 4, 8, 15, 16, 29, 30, 58, 60, 116, 120, 232, 240, 435, 464, 870, 1740, 3480, 6960

20 divisors

τ	Total Divisors	20	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-6959	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.05	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	20	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 6960 can be divided by 20 positive divisors. The sum of these divisors (counting 6960) is 1, the average is 0.05.

Base conversion 6960

Base	System	Value
2	Binary	1101100110000
3	Ternary	100112210
4	Quaternary	1230300
5	Quinary	210320
6	Senary	52120
8	Octal	15460
10	Decimal	6960
12	Duodecimal	4040
16	Hexadecimal	1b30
20	Vigesimal	h80
36	Base36	5dc

Cryptographic Hash Functions

md5	d347df3d73566108aa6d1b5d37b59703
sha1	70875fe7aa9f60b30f01f4a2c8562bc257eed414
sha256	f9d4d7acb62e17c88c0841fab2358087ec505746f3c66614b342751d4cf3a3e1
sha512	43e6aa32be2d3b2f9af05fff368e653dcbc05b7ccab65783cd09fef45310fd2d7b64a992ecdbc51897832dbe775218e3984c58f57dd694022909f3a311dda311
ripemd-160	767b92345c93e2b5ab3e285cffbe61f9b7166086

6960 as geometric shapes

Circle

Radius = n

Diameter	13920
Circumference	43730.96973797
Area	152183774.68814

Sphere

Radius = n

Volume	1412265429105.9
Surface area	608735098.75254
Circumference	43730.96973797

Square

Length = n

Perimeter	27840
Area	48441600
Diagonal	9842.9263941167

Cube

Length = n

Surface area	290649600
Volume	337153536000
Space diagonal	12055.073620679

Equilateral Triangle

Length = n

Perimeter	20880
Area	20975828.099982
Altitude	6027.5368103397

Triangular Pyramid

Length = n

Surface area	20975828.099982
Volume	39733925267.77
Height	3280.9754647056